d) What is the Positive Predictive Value of the mammogram based on the data represented by the tree diagram? Be sure to show your calculations and provide an interpretation of the PPV.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Question
The incidence of breast cancer varies depending on a woman’s
age. The National Cancer Institute provides probabilities for a
randomly chosen woman in her 60s who receives a
mammogram to screen for breast cancer.
Positive Mammogram Result
0.85
Breast
Cancer
0.0365
Negative Mammogram Result
0.15
Woman
in her 60s
Positive Mammogram Result
0.05
No Breast
Cancer
0.9635
Negative Mammogram Result
0.95
Use the descriptions and associated probabilities in the tree
diagram above to answer and/or calculate the following:
Transcribed Image Text:The incidence of breast cancer varies depending on a woman’s age. The National Cancer Institute provides probabilities for a randomly chosen woman in her 60s who receives a mammogram to screen for breast cancer. Positive Mammogram Result 0.85 Breast Cancer 0.0365 Negative Mammogram Result 0.15 Woman in her 60s Positive Mammogram Result 0.05 No Breast Cancer 0.9635 Negative Mammogram Result 0.95 Use the descriptions and associated probabilities in the tree diagram above to answer and/or calculate the following:
d) What is the Positive Predictive Value of the mammogram
based on the data represented by the tree diagram? Be sure
to show your calculations and provide an interpretation of
the PPV.
Transcribed Image Text:d) What is the Positive Predictive Value of the mammogram based on the data represented by the tree diagram? Be sure to show your calculations and provide an interpretation of the PPV.
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